Invariant polynomials of the automorphism group of a compact complex manifold
Let M be a compact complex manifold and h(M) the Lie algebra of all holomorphic vector fields on M. When \(c_ 1(M)>0\), the first author [Invent. Math. 73, 437-443 (1983; Zbl 0506.53030)] defined a character f: h(M)\(\to C\) which gives an obstruction to the existence of Einstein- Kähler metrics on M. The purpose of this paper is to give interpretations of f in terms of the Gysin map and in terms of secondary characteristic classes.
scientific article; zbMATH DE number 3964931